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MA6-WEEK8-POSITIVE-RATIONAL-NUMBERS:-A-SUMMARY

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Created on April 13, 2024

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Transcript

POSITIVE RATIONAL NUMBERS: A SUMMARY

Objectives

Start

Classification of Numbers

Review of Operations

Problem Solving

Classification of Numbers

At this moment, all the numbers we've seen are in the set of rational numbers.

Rational Numbers

Integer Numbers

Whole Numbers

Results of a division p/q p integer, q ≠0

{...,-4/2,-3/2,-2/2,-1/2,0,1/2,,2/2,143/2,...}

Natural, negative numbers and 0

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,...}

Counting Numbers (natural) and 0

{0, 1, 2, 3, 4, 5, 6, 7, 8,...}

Rational numbers are Represented in number line as follows:

Non-integer Numbers

Whole Numbers

Integer Numbers

Rational Numbers

Review of Operations

Given that the operations for rational numbers are +, -, ×, ÷, (...)^2, (...)^3,

Let's put into practice the overall procedure involving them!

1/5

How was done the following addition of decimal numbers?

2/5

In the following substraction of numbers: What happend?

3/5

How can we multiply and divide two decimal numbers?

4/5

How can we multiply two fractions?

5/5

Mark wrote that: 1.1²=1.21 How did he perform the operation?

Overview of Operations

aDDITION

sUBSTRACTION

mULTIPLICATION

Division

Decimals

Fractions

Decimals

Fractions

Decimals

Decimals

Problem Solving

Before solving problems related with rational numbers,

why not to have a look at the steps required to solve a problem.

Steps for Solving a Problem

sTRATEGY OF solution

Context of the problem

Solve it

The Question

Answer

GIVENS

Try it by Yourself

You've recently decided to set up a small aquarium in your home to bring some marine life into your living space. After careful consideration, you've chosen a sleek fish tank with dimensions of 0.8 meters by 0.8 meters by 0.8 meters.

What is the volume of water required to completely fill the tank?

07:00

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-POSITIVE-RATIONAL-NUMBERS:-A-SUMMARY-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

Standard 1: Extend knowledge of numbers to negative numbers and develop an understanding of absolute value. MA.6.NSO.1.4 Solve mathematical and real-world problems involving absolute value, including the comparison of absolute value. Standard 2: Add, subtract, multiply and divide positive rational numbers. MA.6.NSO.2.3 Solve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers. Standard 3: Apply properties of operations to rewrite numbers in equivalent forms. MA.6.NSO.3.1 Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.